Question

Construct two chords of length 10 cm. and 6 cm. on the same side of the centre of a circle, whose radius is 6 cm. Measure the distance between the centre and the chords.

Answer 1

Radius of the circle = 6 cm

Length of the first chord = 8 cm

Length of the second chord = 10 cm

To construct the circle and the chords, the steps below need to be followed:

1. Draw a circle of radius 6 cm with centre O.

2. Take two points A and C on the circle.

3. With points A and C as the centers and radii 8 cm and 10 cm respectively, draw arcs that cut the circle at points B and D.

4. Join A and B, and C and D.

5. Mark the midpoints of AB and CD as M and N.

6. Join OM and ON

Thus, AB and CD are chords of lengths 8 cm and 10 cm respectively and the approximate distances between the centre O and chords AB and CD are 4.5 cm and 3. 3 cm.